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Finding the Fourth Proportional to 10,594.47, 14,619.63 and 5,878.38

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Solution

The fourth proportional to 10,594.47, 14,619.63 and 5,878.38 is: 8,111.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.47 : 14,619.63 = 5,878.38 : x
  2. Step 2: Convert to fraction form
    10,594.47/14,619.63 = 5,878.38/x
  3. Step 3: Cross multiply
    10,594.47x = 14,619.63 × 5,878.38
  4. Step 4: Simplify right side
    10,594.47x = 85,939,740.60
  5. Step 5: Solve for x
    x = 85,939,740.60/10,594.47
  6. Step 6: Final answer
    x = 8,111.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.